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High Order Approximation of the Inverse Elliptic Problem with Dirichlet-Neumann Conditions
(Univ Nis, Fac Sci Math, 2014)
Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost ...
Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
(Hindawi Ltd, 2013)
A finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the first and second ...
The Difference Problem of Obtaining the Parameter of a Parabolic Equation
(Hindawi Ltd, 2012)
The boundary value problem of determining the parameter p of a parabolic equation v'(t) + Av(t) = f(t) + p (0 <= t <= 1), v(0) = phi, v(1) = psi in an arbitrary Banach space E with the strongly positive operator A is ...
Approximation of the inverse elliptic problem with mixed boundary value conditions
(Amer Inst Physics, 2014)
The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space ...
Finite Difference Method for The Reverse Parabolic Problem with Neumann Condition
(Amer Inst Physics, 2012)
A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive ...
High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition
(Springer International Publishing Ag, 2014)
The overdetermination problem for elliptic differential equation with Dirichlet boundary condition is considered. The third and fourth orders of accuracy stable difference schemes for the solution of this inverse problem ...
Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
(Springer International Publishing Ag, 2015)
In the present study, the inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is considered. The first and second orders of accuracy in t and the second order of ...
Well-posedness of Neumann-type Elliptic Overdetermined Problem with Integral Condition
(Amer Inst Physics, 2018)
The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overdetermined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary ...